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Hierarchical multi-dimensional limiting strategy for correction procedure via reconstruction.
- Source :
-
Journal of Computational Physics . Mar2016, Vol. 308, p57-80. 24p. - Publication Year :
- 2016
-
Abstract
- Hierarchical multi-dimensional limiting process (MLP) is improved and extended for flux reconstruction or correction procedure via reconstruction (FR/CPR) on unstructured grids. MLP was originally developed in finite volume method (FVM) and it provides an accurate, robust and efficient oscillation-control mechanism in multiple dimensions for linear reconstruction. This limiting philosophy can be hierarchically extended into higher-order Pn approximation or reconstruction. The resulting algorithm is referred to as the hierarchical MLP and facilitates detailed capture of flow structures while maintaining formal order-of-accuracy in a smooth region and providing accurate non-oscillatory solutions across a discontinuous region. This algorithm was developed within modal DG framework, but it can also be formulated into a nodal framework, most notably the FR/CPR framework. Troubled-cells are detected by applying the MLP concept, and the final accuracy is determined by a projection procedure and the hierarchical MLP limiting step. Extensive numerical analyses and computations, ranging from two-dimensional to three-dimensional fluid systems, have demonstrated that the proposed limiting approach yields outstanding performances in capturing compressible inviscid and viscous flow features. [ABSTRACT FROM AUTHOR]
- Subjects :
- *FINITE volume method
*ROBUST control
*VISCOUS flow
*OSCILLATIONS
*ALGORITHMS
Subjects
Details
- Language :
- English
- ISSN :
- 00219991
- Volume :
- 308
- Database :
- Academic Search Index
- Journal :
- Journal of Computational Physics
- Publication Type :
- Academic Journal
- Accession number :
- 112311344
- Full Text :
- https://doi.org/10.1016/j.jcp.2015.12.020